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Nonlinear adiabatic passage from fermion atoms to boson molecules

E. Pazy·I Tikhonenkov·Y. B. Band·M. Fleischhauer·A. Vardi
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Abstract

We study the dynamics of an adiabatic sweep through a Feshbach resonance in a quantum gas of fermionic atoms. Analysis of the dynamical equations, supported by mean-field and many-body numerical results, shows that the dependence of the remaining atomic fraction $Γ$ on the sweep rate $α$ varies from exponential Landau-Zener behavior for a single pair of particles to a power-law dependence for large particle number $N$. The power-law is linear, $Γ\propto α$, when the initial molecular fraction is smaller than the 1/N quantum fluctuations, and $Γ\propto α^{1/3}$ when it is larger. Experimental data agree better with a linear dependence than with an exponential Landau-Zener fit, indicating that many-body effects are significant in the atom-molecule conversion process.

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E. Pazy, I Tikhonenkov, Y. B. Band, M. Fleischhauer, A. Vardi. 2005-03-09. Nonlinear adiabatic passage from fermion atoms to boson molecules. https://doi.org/10.1103/physrevlett.95.170403

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